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Finding the Third Proportional to 211,894 and 457,397

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Solution

The third proportional to 211,894 and 457,397 is: 987,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,894 : 457,397 = 457,397 : x
  2. Step 2: Convert to fraction form
    211,894/457,397 = 457,397/x
  3. Step 3: Cross multiply
    211,894x = 457,397 × 457,397
  4. Step 4: Simplify right side
    211,894x = 209,212,015,609
  5. Step 5: Solve for x
    x = 209,212,015,609/211,894
  6. Step 6: Final answer
    x = 987,342.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.